To determine the charge required for a 1.45 g particle to remain stationary in a downward-directed electric field of 650 N/C, one must equate the gravitational force to the electric force. The gravitational force is calculated using the formula F_gravity = m * g, where m is the mass (1.45 g or 0.00145 kg) and g is the acceleration due to gravity (approximately 9.81 m/s²). The electric force is given by F_electric = q * E, where q is the charge and E is the electric field strength (650 N/C). Setting these forces equal allows for the calculation of the necessary charge. Additionally, the magnitude of an electric field that balances the weight of a proton can be determined using similar principles.
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